%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV693-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AC4AVcrVYd true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:01:50 PM UTC 2025
% Result : Unsatisfiable 174.00s 25.50s
% Output : Refutation 174.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV693-1 : TPTP v9.2.0. Released v4.1.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AC4AVcrVYd true
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 12:26:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 174.00/25.50 % Solved by fo/fo3_bce.sh.
% 174.00/25.50 % BCE start: 1010
% 174.00/25.50 % BCE eliminated: 258
% 174.00/25.50 % PE start: 752
% 174.00/25.50 logic: eq
% 174.00/25.50 % PE eliminated: -23
% 174.00/25.50 % done 1325 iterations in 24.682s
% 174.00/25.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 174.00/25.50 % SZS output start Refutation
% 174.00/25.50 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 174.00/25.50 $i > $i).
% 174.00/25.50 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 174.00/25.50 $i > $i).
% 174.00/25.50 thf(c_Lattices_Oupper__semilattice__class_Osup_type, type, c_Lattices_Oupper__semilattice__class_Osup:
% 174.00/25.50 $i > $i > $i > $i).
% 174.00/25.50 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i).
% 174.00/25.50 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 174.00/25.50 thf(c_SetInterval_Oord__class_OgreaterThanLessThan_type, type, c_SetInterval_Oord__class_OgreaterThanLessThan:
% 174.00/25.50 $i > $i > $i > $i).
% 174.00/25.50 thf(c_Suc_type, type, c_Suc: $i).
% 174.00/25.50 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 174.00/25.50 thf(tc_nat_type, type, tc_nat: $i).
% 174.00/25.50 thf(v_a_type, type, v_a: $i).
% 174.00/25.50 thf(hBOOL_type, type, hBOOL: $i > $o).
% 174.00/25.50 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 174.00/25.50 thf(c_Finite__Set_Osetsum_type, type, c_Finite__Set_Osetsum: $i > $i > $i).
% 174.00/25.50 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i).
% 174.00/25.50 thf(v_i_type, type, v_i: $i).
% 174.00/25.50 thf(c_Orderings_Obot__class_Obot_type, type, c_Orderings_Obot__class_Obot:
% 174.00/25.50 $i > $i).
% 174.00/25.50 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 174.00/25.50 thf(tc_bool_type, type, tc_bool: $i).
% 174.00/25.50 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 174.00/25.50 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 174.00/25.50 $i > $i).
% 174.00/25.50 thf(c_SetInterval_Oord__class_OatLeastLessThan_type, type, c_SetInterval_Oord__class_OatLeastLessThan:
% 174.00/25.50 $i > $i > $i > $i).
% 174.00/25.50 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i).
% 174.00/25.50 thf(c_Set_Oinsert_type, type, c_Set_Oinsert: $i > $i > $i > $i).
% 174.00/25.50 thf(v_n_type, type, v_n: $i).
% 174.00/25.50 thf(c_FFT__Mirabelle_Oroot_type, type, c_FFT__Mirabelle_Oroot: $i > $i).
% 174.00/25.50 thf(c_COMBS_type, type, c_COMBS: $i > $i > $i > $i > $i > $i).
% 174.00/25.50 thf(clsarity_nat__Orderings_Olinorder, axiom,
% 174.00/25.50 (class_Orderings_Olinorder @ tc_nat)).
% 174.00/25.50 thf(zip_derived_cl981, plain, ( (class_Orderings_Olinorder @ tc_nat)),
% 174.00/25.50 inference('cnf', [status(esa)], [clsarity_nat__Orderings_Olinorder])).
% 174.00/25.50 thf(cls_ivl__disj__un_I3_J_0, axiom,
% 174.00/25.50 (( ~( class_Orderings_Olinorder @ T_a ) ) |
% 174.00/25.50 ( ( c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 ( c_Set_Oinsert @
% 174.00/25.50 V_l @
% 174.00/25.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OgreaterThanLessThan @ V_l @ V_u @ T_a ) @
% 174.00/25.50 ( tc_fun @ T_a @ tc_bool ) ) =
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @ V_l @ V_u @ T_a ) ) |
% 174.00/25.50 ( ~( hBOOL @ ( hAPP @ ( c_HOL_Oord__class_Oless @ V_l @ T_a ) @ V_u ) ) ))).
% 174.00/25.50 thf(zip_derived_cl898, plain,
% 174.00/25.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 174.00/25.50 (~ (class_Orderings_Olinorder @ X0)
% 174.00/25.50 | ((c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 (c_Set_Oinsert @ X1 @
% 174.00/25.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ X0 @ tc_bool)) @ X0) @
% 174.00/25.50 (c_SetInterval_Oord__class_OgreaterThanLessThan @ X1 @ X2 @ X0) @
% 174.00/25.50 (tc_fun @ X0 @ tc_bool))
% 174.00/25.50 = (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X2 @ X0))
% 174.00/25.50 | ~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ X1 @ X0) @ X2)))),
% 174.00/25.50 inference('cnf', [status(esa)], [cls_ivl__disj__un_I3_J_0])).
% 174.00/25.50 thf(zip_derived_cl2734, plain,
% 174.00/25.50 (![X0 : $i, X1 : $i]:
% 174.00/25.50 (~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ X1 @ tc_nat) @ X0))
% 174.00/25.50 | ((c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 (c_Set_Oinsert @ X1 @
% 174.00/25.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_SetInterval_Oord__class_OgreaterThanLessThan @ X1 @ X0 @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_bool))
% 174.00/25.50 = (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat)))),
% 174.00/25.50 inference('dp-resolution', [status(thm)],
% 174.00/25.50 [zip_derived_cl981, zip_derived_cl898])).
% 174.00/25.50 thf(cls_atLeastLessThan__singleton_0, axiom,
% 174.00/25.50 (( c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 V_m @ ( hAPP @ c_Suc @ V_m ) @ tc_nat ) =
% 174.00/25.50 ( c_Set_Oinsert @
% 174.00/25.50 V_m @
% 174.00/25.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @
% 174.00/25.50 tc_nat ))).
% 174.00/25.50 thf(zip_derived_cl887, plain,
% 174.00/25.50 (![X0 : $i]:
% 174.00/25.50 ((c_SetInterval_Oord__class_OatLeastLessThan @ X0 @
% 174.00/25.50 (hAPP @ c_Suc @ X0) @ tc_nat)
% 174.00/25.50 = (c_Set_Oinsert @ X0 @
% 174.00/25.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 174.00/25.50 tc_nat))),
% 174.00/25.50 inference('cnf', [status(esa)], [cls_atLeastLessThan__singleton_0])).
% 174.00/25.50 thf(cls_atLeastSucLessThan__greaterThanLessThan_0, axiom,
% 174.00/25.50 (( c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 ( hAPP @ c_Suc @ V_l ) @ V_u @ tc_nat ) =
% 174.00/25.50 ( c_SetInterval_Oord__class_OgreaterThanLessThan @ V_l @ V_u @ tc_nat ))).
% 174.00/25.50 thf(zip_derived_cl847, plain,
% 174.00/25.50 (![X0 : $i, X1 : $i]:
% 174.00/25.50 ((c_SetInterval_Oord__class_OatLeastLessThan @ (hAPP @ c_Suc @ X0) @
% 174.00/25.50 X1 @ tc_nat)
% 174.00/25.50 = (c_SetInterval_Oord__class_OgreaterThanLessThan @ X0 @ X1 @ tc_nat))),
% 174.00/25.50 inference('cnf', [status(esa)],
% 174.00/25.50 [cls_atLeastSucLessThan__greaterThanLessThan_0])).
% 174.00/25.50 thf(zip_derived_cl25524, plain,
% 174.00/25.50 (![X0 : $i, X1 : $i]:
% 174.00/25.50 (~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ X1 @ tc_nat) @ X0))
% 174.00/25.50 | ((c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @
% 174.00/25.50 (hAPP @ c_Suc @ X1) @ tc_nat) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (hAPP @ c_Suc @ X1) @ X0 @ tc_nat) @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_bool))
% 174.00/25.50 = (c_SetInterval_Oord__class_OatLeastLessThan @ X1 @ X0 @ tc_nat)))),
% 174.00/25.50 inference('demod', [status(thm)],
% 174.00/25.50 [zip_derived_cl2734, zip_derived_cl887, zip_derived_cl847])).
% 174.00/25.50 thf(cls_conjecture_0, conjecture,
% 174.00/25.50 (( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_COMBS @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( tc_fun @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat ) @
% 174.00/25.50 v_i ) ) ) ) @
% 174.00/25.50 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat ) ) =
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_COMBS @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( tc_fun @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat ) @
% 174.00/25.50 v_i ) ) ) ) @
% 174.00/25.50 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 ( c_Set_Oinsert @
% 174.00/25.50 v_i @
% 174.00/25.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OgreaterThanLessThan @ v_i @ v_n @ tc_nat ) @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_bool ) ) ))).
% 174.00/25.50 thf(zf_stmt_0, negated_conjecture,
% 174.00/25.50 (( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_COMBS @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( tc_fun @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat ) @
% 174.00/25.50 v_i ) ) ) ) @
% 174.00/25.50 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat ) ) !=
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_COMBS @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( tc_fun @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @
% 174.00/25.50 tc_Complex_Ocomplex @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_Complex_Ocomplex ) @ tc_nat ) @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_FFT__Mirabelle_Oroot @ v_n ) ) ) @
% 174.00/25.50 ( hAPP @
% 174.00/25.50 ( c_COMBC @
% 174.00/25.50 ( c_HOL_Ominus__class_Ominus @ tc_nat ) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat ) @
% 174.00/25.50 v_i ) ) ) ) @
% 174.00/25.50 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @ tc_Complex_Ocomplex ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ v_n @ tc_nat ) ) ) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex ) ) @
% 174.00/25.50 ( c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 ( c_Set_Oinsert @
% 174.00/25.50 v_i @
% 174.00/25.50 ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_nat @ tc_bool ) ) @
% 174.00/25.50 tc_nat ) @
% 174.00/25.50 ( c_SetInterval_Oord__class_OgreaterThanLessThan @ v_i @ v_n @ tc_nat ) @
% 174.00/25.50 ( tc_fun @ tc_nat @ tc_bool ) ) )),
% 174.00/25.50 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 174.00/25.50 thf(zip_derived_cl1009, plain,
% 174.00/25.50 (((hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 174.00/25.50 != (hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @
% 174.00/25.50 tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @
% 174.00/25.50 tc_nat @ tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 (c_Set_Oinsert @ v_i @
% 174.00/25.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_SetInterval_Oord__class_OgreaterThanLessThan @ v_i @ v_n @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_bool))))),
% 174.00/25.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 174.00/25.50 thf(zip_derived_cl887, plain,
% 174.00/25.50 (![X0 : $i]:
% 174.00/25.50 ((c_SetInterval_Oord__class_OatLeastLessThan @ X0 @
% 174.00/25.50 (hAPP @ c_Suc @ X0) @ tc_nat)
% 174.00/25.50 = (c_Set_Oinsert @ X0 @
% 174.00/25.50 (c_Orderings_Obot__class_Obot @ (tc_fun @ tc_nat @ tc_bool)) @
% 174.00/25.50 tc_nat))),
% 174.00/25.50 inference('cnf', [status(esa)], [cls_atLeastLessThan__singleton_0])).
% 174.00/25.50 thf(zip_derived_cl847, plain,
% 174.00/25.50 (![X0 : $i, X1 : $i]:
% 174.00/25.50 ((c_SetInterval_Oord__class_OatLeastLessThan @ (hAPP @ c_Suc @ X0) @
% 174.00/25.50 X1 @ tc_nat)
% 174.00/25.50 = (c_SetInterval_Oord__class_OgreaterThanLessThan @ X0 @ X1 @ tc_nat))),
% 174.00/25.50 inference('cnf', [status(esa)],
% 174.00/25.50 [cls_atLeastSucLessThan__greaterThanLessThan_0])).
% 174.00/25.50 thf(zip_derived_cl42626, plain,
% 174.00/25.50 (((hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 174.00/25.50 != (hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @
% 174.00/25.50 tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @
% 174.00/25.50 tc_nat @ tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_Lattices_Oupper__semilattice__class_Osup @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @
% 174.00/25.50 (hAPP @ c_Suc @ v_i) @ tc_nat) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (hAPP @ c_Suc @ v_i) @ v_n @ tc_nat) @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_bool))))),
% 174.00/25.50 inference('demod', [status(thm)],
% 174.00/25.50 [zip_derived_cl1009, zip_derived_cl887, zip_derived_cl847])).
% 174.00/25.50 thf(zip_derived_cl42631, plain,
% 174.00/25.50 ((((hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 174.00/25.50 != (hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @
% 174.00/25.50 tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @
% 174.00/25.50 tc_nat @ tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat)))
% 174.00/25.50 | ~ (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ v_i @ tc_nat) @ v_n)))),
% 174.00/25.50 inference('sup-', [status(thm)],
% 174.00/25.50 [zip_derived_cl25524, zip_derived_cl42626])).
% 174.00/25.50 thf(cls_assms_0, axiom,
% 174.00/25.50 (hBOOL @ ( hAPP @ ( c_HOL_Oord__class_Oless @ v_i @ tc_nat ) @ v_n ))).
% 174.00/25.50 thf(zip_derived_cl843, plain,
% 174.00/25.50 ( (hBOOL @ (hAPP @ (c_HOL_Oord__class_Oless @ v_i @ tc_nat) @ v_n))),
% 174.00/25.50 inference('cnf', [status(esa)], [cls_assms_0])).
% 174.00/25.50 thf(zip_derived_cl42640, plain,
% 174.00/25.50 (((hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @ (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @ tc_nat @
% 174.00/25.50 tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat))
% 174.00/25.50 != (hAPP @
% 174.00/25.50 (hAPP @ (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_COMBS @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_HOL_Otimes__class_Otimes @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @
% 174.00/25.50 (tc_fun @ (tc_fun @ tc_nat @ tc_bool) @
% 174.00/25.50 tc_Complex_Ocomplex) @
% 174.00/25.50 tc_nat) @
% 174.00/25.50 (c_Finite__Set_Osetsum @ tc_nat @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_Complex_Ocomplex @
% 174.00/25.50 (tc_fun @ tc_nat @ tc_Complex_Ocomplex) @ tc_nat) @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBB @ tc_nat @ tc_Complex_Ocomplex @ tc_nat) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_Power_Opower__class_Opower @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_FFT__Mirabelle_Oroot @ v_n))) @
% 174.00/25.50 (hAPP @
% 174.00/25.50 (c_COMBC @ (c_HOL_Ominus__class_Ominus @ tc_nat) @
% 174.00/25.50 tc_nat @ tc_nat @ tc_nat) @
% 174.00/25.50 v_i)))) @
% 174.00/25.50 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @ tc_Complex_Ocomplex) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @
% 174.00/25.50 (c_HOL_Ozero__class_Ozero @ tc_nat) @ v_n @ tc_nat))) @
% 174.00/25.50 v_a @ tc_nat @ tc_Complex_Ocomplex @ tc_Complex_Ocomplex)) @
% 174.00/25.50 (c_SetInterval_Oord__class_OatLeastLessThan @ v_i @ v_n @ tc_nat)))),
% 174.00/25.50 inference('demod', [status(thm)],
% 174.00/25.50 [zip_derived_cl42631, zip_derived_cl843])).
% 174.00/25.50 thf(zip_derived_cl42641, plain, ($false),
% 174.00/25.50 inference('simplify', [status(thm)], [zip_derived_cl42640])).
% 174.00/25.50
% 174.00/25.50 % SZS output end Refutation
% 174.00/25.50
% 174.00/25.50
% 174.00/25.50 % Terminating...
% 174.00/25.54 % Runner terminated.
% 174.00/25.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------